JEE Advance - Mathematics (1984 - No. 4)
A box contains $$24$$ identical balls of which $$12$$ are white and $$12$$ are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the $$4$$th time on the $$7$$th draw is
$$5/64$$
$$27/32$$
$$5/32$$
$$1/2$$